Question

`Write\; an\; equation\; for \;the \;following...\\1...\;(-1, 1), slope = 4\\2...\;(1, 5), slope = 3\\3...\;(-2, 2), slope = -5/6`

Answer 1

Answer: 1) y = 4x + 5

2) y = 3x + 2

3) y = (-5/6)x + 1/3

Explanation:

Use the Point-Slope equation: y - y₁ = m(x - x₁) where

• (x₁, y₁) is a point on the line
• m is the slope

(x₁, y₁) = (-1, 1) m = 4

y - 1 = 4(x + 1)

y - 1 = 4x + 4

y = 4x + 5

(x₁, y₁) = (1, 5) m = 3

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

(x₁, y₁) = (-2, 2) m = -5/6

y - 2 = -5/6(x + 2)

y - 2 = (-5/6)x - 5/3

y = (-5/6)x + 1/3